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<p>In the three-way decision space (3WDS) theory proposed by Hu, the decision evaluation functions play a crucial role. Based on the construction method from semi-decision evaluation function to decision evaluation function on three-way decision space, some binary aggregation operators, such as uninorm, <i>t</i>-norm and <i>t</i>-conorm, overlap function and grouping function and so on, are applied to the construction of semi-decision evaluation functions and decision evaluation functions. In light of this research impetus, several types of decision evaluation function families are obtained by using nullnorms (or <i>t</i>-operators) to construct semi-decision evaluation functions and decision evaluation functions. Furthermore, starting from the involution negation operators, dual nullnorms and self-dual nullnorms, this paper provides novel construction of decision evaluation functions.</p>

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New decision evaluation functions based on nullnorms over three-way decision spaces

  • 期刊论文

  • 发表日期：

    2025年12月18日

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  • Yuedong Zheng,
  • Bao Qing Hu

摘要

In the three-way decision space (3WDS) theory proposed by Hu, the decision evaluation functions play a crucial role. Based on the construction method from semi-decision evaluation function to decision evaluation function on three-way decision space, some binary aggregation operators, such as uninorm, t-norm and t-conorm, overlap function and grouping function and so on, are applied to the construction of semi-decision evaluation functions and decision evaluation functions. In light of this research impetus, several types of decision evaluation function families are obtained by using nullnorms (or t-operators) to construct semi-decision evaluation functions and decision evaluation functions. Furthermore, starting from the involution negation operators, dual nullnorms and self-dual nullnorms, this paper provides novel construction of decision evaluation functions.